Meghan Markle and Prince Harry’s relationship with the royal family shifted after the duo moved to the U.S., but experts wonder ifKing Charles and Kate Middleton’s cancer battles will push them to reconcile. As summer approaches, there have been reports of Charles wanting the Sussexes to visit him in Balmoral with their two kids, Prince Archie and Princess Lilibet. “If the invitation becomes a real invitation — and it is almost certainly to do that — both Harry and Meghan will find themselves in a very difficult position,” Tom Quinn told an outlet. Quinn noted they are “obsessed with their pub…